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Geometric proof showing that RS does not bisect angle PRQ given RS is perpendicular to PQ and PR is not congruent to QR.

Diagram illustrating a geometric proof involving triangle PQR, with RS perpendicular to PQ and PR not congruent to QR, proving that RS does not bisect angle PRQ.

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Show Answer Key & Explanations Step-by-step solution for: Chapter 5 Class Notes

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1. Assume: RS bisects ∠PRQ.
2. ∠PRS ≅ ∠QRS
3. RS ⊥ PQ
4. ∠PSR & ∠QSR are right ∠s
5. ∠PSR ≅ ∠QSR
6. RS ≅ RS
7. △PRS ≅ △QRS
8. PR ≅ QR
9. PR is not ≅ to QR

But statement 8 contradicts statement 9. Consequently, the assumption must be false.
∴ RS does not bisect ∠PRQ.

Parent Tip: Review the logic above to help your child master the concept of indirect proof worksheet.

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